Division of Fractions

Anthony OR 柯志明, Jan 27, 2014

Table of Contents

  1. Partitive Division of Fractions
    1. Fraction Division1:　a ÷ b (Partitive)
    2. Fraction Division2:　p/q ÷ b (Partitive)
  2. Quotative (Measurement) Division of Fractions
    1. Fraction Division3:　a ÷ b (Quotitive)
    2. Fraction Division4:　1 ÷ a/b (Quotitive)
    3. Fraction Division5:　x ÷ a/b (Quotitive)
  3. References
    1. From Whole Numbers to Invert and Multiply
    2. 針對學習難點的教學設計 — 分數除法

1.

Partitive Division of Fractions

  • 1. Fraction Division1:　a ÷ b (Partitive)
  • 2. Fraction Division2:　p/q ÷ b (Partitive)

1.1.

Fraction Division1:　a ÷ b (Partitive)

(a)　How many pizzas will each student receive if 1 pizza is divided equally among: [br]　　(i) 2 students; 　(ii) 3 students;　(iii) 4 students?[br][br](b)　How many pizzas will each student receive if each of the following numbers of pizzas are divided among 3 students?[br]　　(i) 2 pizzas 　(ii) 4 pizzas　(iii) 5 pizzas[br][br]In general, how would you calculate a ÷ b ?
Anthony Or. GeoGebra Institute of Hong Kong. (中文版：http://www.geogebratube.org/student/m14540)[br]orchiming@gmail.com
– Anthony OR 柯志明

1.2.

–

2.

Quotative (Measurement) Division of Fractions

  • 1. Fraction Division3:　a ÷ b (Quotitive)
  • 2. Fraction Division4:　1 ÷ a/b (Quotitive)
  • 3. Fraction Division5:　x ÷ a/b (Quotitive)

2.1.

Fraction Division3:　a ÷ b (Quotitive)

(a)　How many groups are there if 12 is divided into groups of:[br]　　(i) 3; 　(ii) 4;　(iii) 5?[br](b)　How many groups are there if 10 is divided into groups of 4?[br](c)　How many groups are there if 5 is divided into groups of 3?[br](d)　How many groups are there if 3 is divided into groups of 5?[br](e)　How many groups are there if 2 is divided into groups of 4?[br](f)　How many groups are there if 1 is divided into groups of 3?[br][br]In general, how would you calculate a ÷ b ?
Fraction Division3:　a ÷ b (Quotitive)
– Anthony OR 柯志明

2.2.

–

2.3.

–

3.

References

  • 1. From Whole Numbers to Invert and Multiply
  • 2. 針對學習難點的教學設計 — 分數除法

3.1.

From Whole Numbers to Invert and Multiply
– GeoGebra Institute of Hong Kong

3.2.

–

Information